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Finding the Third Proportional to 369,708 and 552,098

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Solution

The third proportional to 369,708 and 552,098 is: 824,467.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,708 : 552,098 = 552,098 : x
  2. Step 2: Convert to fraction form
    369,708/552,098 = 552,098/x
  3. Step 3: Cross multiply
    369,708x = 552,098 × 552,098
  4. Step 4: Simplify right side
    369,708x = 304,812,201,604
  5. Step 5: Solve for x
    x = 304,812,201,604/369,708
  6. Step 6: Final answer
    x = 824,467.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.